Subtracting Fractions: 1 1/3  1/2
This article will guide you through the process of subtracting the fractions 1 1/3 and 1/2.
Understanding Mixed Numbers and Improper Fractions
Before we begin, let's define some terms:
 Mixed number: A mixed number combines a whole number and a fraction (e.g., 1 1/3).
 Improper fraction: An improper fraction has a numerator greater than or equal to its denominator (e.g., 4/3).
To subtract fractions, they must share a common denominator. Let's convert our mixed number to an improper fraction and find a common denominator for both fractions.
Converting to Improper Fractions
 Multiply the whole number by the denominator: 1 x 3 = 3
 Add the numerator: 3 + 1 = 4
 Keep the same denominator: 4/3
Now we have the equation: 4/3  1/2
Finding a Common Denominator

Find the least common multiple (LCM) of the denominators: The LCM of 3 and 2 is 6.

Multiply the numerator and denominator of each fraction by the factor that makes the denominator equal to 6:
 4/3 x 2/2 = 8/6
 1/2 x 3/3 = 3/6
Subtracting the Fractions
Now we have: 8/6  3/6
 Subtract the numerators: 8  3 = 5
 Keep the denominator: 5/6
The Answer
Therefore, 1 1/3  1/2 is equal to 5/6.